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Finding the Fourth Proportional to 156,822, 216,592.56 and 106,433.52

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Solution

The fourth proportional to 156,822, 216,592.56 and 106,433.52 is: 146,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,822 : 216,592.56 = 106,433.52 : x
  2. Step 2: Convert to fraction form
    156,822/216,592.56 = 106,433.52/x
  3. Step 3: Cross multiply
    156,822x = 216,592.56 × 106,433.52
  4. Step 4: Simplify right side
    156,822x = 23,052,708,566.61
  5. Step 5: Solve for x
    x = 23,052,708,566.61/156,822
  6. Step 6: Final answer
    x = 146,999.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.